Velocity fluctuations of stochastic reaction fronts propagating into an unstable state: strongly pushed fronts

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F20%3A00536407" target="_blank" >RIV/68378271:_____/20:00536407 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1103/PhysRevE.102.022137" target="_blank" >https://doi.org/10.1103/PhysRevE.102.022137</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevE.102.022137" target="_blank" >10.1103/PhysRevE.102.022137</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Velocity fluctuations of stochastic reaction fronts propagating into an unstable state: strongly pushed fronts

Popis výsledku v původním jazyce

The empirical velocity of a reaction-diffusion front, propagating into an unstable state, fluctuates because of the shot noises of the reactions and diffusion. Under certain conditions these fluctuations can be described as a diffusion process in the reference frame moving with the average velocity of the front. Here we address pushed fronts, where the front velocity in the deterministic limit is affected by higher-order reactions and is therefore larger than the linear spread velocity. For a subclass of these fronts-strongly pushed fronts-the effective diffusion constant D-f similar to 1/N of the front can be calculated, in the leading order, via a perturbation theory in 1/N << 1, where N >> 1 is the typical number of particles in the transition region. This perturbation theory, however, overestimates the contribution of a few fast particles in the leading edge of the front.

Název v anglickém jazyce

Velocity fluctuations of stochastic reaction fronts propagating into an unstable state: strongly pushed fronts

Popis výsledku anglicky

The empirical velocity of a reaction-diffusion front, propagating into an unstable state, fluctuates because of the shot noises of the reactions and diffusion. Under certain conditions these fluctuations can be described as a diffusion process in the reference frame moving with the average velocity of the front. Here we address pushed fronts, where the front velocity in the deterministic limit is affected by higher-order reactions and is therefore larger than the linear spread velocity. For a subclass of these fronts-strongly pushed fronts-the effective diffusion constant D-f similar to 1/N of the front can be calculated, in the leading order, via a perturbation theory in 1/N << 1, where N >> 1 is the typical number of particles in the transition region. This perturbation theory, however, overestimates the contribution of a few fast particles in the leading edge of the front.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/EF15_003%2F0000449" target="_blank" >EF15_003/0000449: High Field Initiative (Výzkum velmi intenzivních polí)</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review E

ISSN

2470-0045

e-ISSN

—

Svazek periodika

102

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

1-9

Kód UT WoS článku

000564799800001

EID výsledku v databázi Scopus

2-s2.0-85091193075